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PERSONNEL SELECTION BASED ON THE SELF-CONFIDENCE LEVEL OF THE DECISION MAKER:
A FUZZY APPROACH
GUNAY IMANOVA
MASTER’S THESIS
NICOSIA 2019
NEAR EAST UNIVERSITY GRADUATE SCHOOL OF SOCIAL SCIENCES
BUSINESS ADMINISTRATION PROGRAM
PERSONNEL SELECTION BASED ON THE SELF-CONFIDENCE LEVEL OF THE DECISION MAKER:
A FUZZY APPROACH
GUNAY IMANOVA
NEAR EAST UNIVERSITY GRADUATE SCHOOL OF SOCIAL SCIENCES BUSINESS ADMINISTRATION PROGRAM
MASTER’S THESIS
THESIS SUPERVISOR PROF. DR. SERIFE Z. EYUPOGLU
NICOSIA 2019
We as the jury members certify the ‘Personnel Selection Based on the Self-Confidence Level of the Decision Maker: A Fuzzy Approach’
prepared by GUNAY IMANOVA defended on 14/01/19 Has been found satisfactory for the award of degree of Master
ACCEPTANCE/APPROVAL
JURY MEMBERS
......................................................... Prof. Dr. Şerife Zihni Eyüpoğlu (Supervisor)
Near East University Faculty of Economics and Administrative Sciences/Department of Business Administration
......................................................... Prof. Dr. Tülen Saner (Head of Jury)
Near East University School of Tourism and Hotel Management
......................................................... Prof. Dr. Rahib H. Abiyev
Near East University Faculty of Engineering/Department of Computer Engineering
......................................................... Prof. Dr. Mustafa Sağsan
Graduate School of Social Sciences Director
DECLARATION
I am Gunay Imanova, hereby declare that this dissertation entitled ‘Personnel Selection Based on the Self-Confidence Level of the Decision Maker: A Fuzzy Approach’ has been prepared myself under the guidance and supervision of Prof. Dr. Serife Zihni Eyupoglu in
partial fulfillment of The Near East University, Graduate School of Social Sciences regulations and does not to the best of my knowledge breach any Law of Copyrights and has
been tested for plagiarism and a copy of the result can be found in the Thesis. o The full extent of my Thesis can be accessible from anywhere.
o My Thesis can only be accessible from Near East University. o My Thesis cannot be accessible for two (2) years. If I do not apply for
extension at the end of this period, the full extent of my Thesis will be
accessible from anywhere.
January 14, 2019
Gunay Imanova
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ACKNOWLEDGEMENTS
I am using this opportunity to express my gratitude to my thesis supervisor
Prof. Dr. Serife Zihni Eyupoglu, whose office door was always open
whenever I am in trouble for my research. I would like to thank for her
truthful, kind and relaxing guidance and advices during intensive period of my
writing.
I would like to express my warm thanks and gratitude to my external expert
guide Prof. Dr. Rafik Aliev for his guidance and support with his profound
knowledge. It was a privilege to work and learn under their precious and
constructive guidance.
I would also like to thank my instructors, who have contributed to enhance
my knowledge and above all support me to be ambitious in learning.
Especially I would like to mention my sincere thanks to Prof. Dr. Tulen Saner.
I express my warm and sincere thanks to my friends who have always
motivated me towards achievement and always rejoiced my heart with their
endless support and pure love.
Finally, I am grateful to my sister and my parents, who have encouraged,
guided, loved, supported, and helped me through my entire life without
getting tired. Besides, I would like to indicate my sincere and genuine thanks
to other dear family members.
Once and for all, I would like to dedicate all my endeavor and thesis
research to my two dear angel grandmothers, Mrs. Gulshad and Mrs. Aida, I
hope you feel...
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ABSTRACT
PERSONNEL SELECTION BASED ON THE SELF-
CONFIDENCE LEVEL OF THE DECISION MAKER: A FUZZY
APPROACH
Personnel selection is considered as the decisive factor of the companies’
overall success rate. Appropriate personnel selection is desired in order to
enhance the human capital of an organization. As the nature of all selections,
personnel selection involves the decision making process. In other words, for
effective and efficient personnel selection process managers (or accountable
subordinate) who are decision makers (DM), should generate and analyze
the possible alternative candidate pool for a vacant position. In order to select
the most appropriate and suitable candidate it might be needed to use
several effective tools such as linear programming or LP model to be able to
obtain the overall ranking weights for the candidates and to minimize the sum
of information deviation between the judgment or preference relations of DM
and the priority vector w. A novel approach for more robust decision making
and solution is based on fuzzy preference relations with indicated self-
confidence levels of the decision makers.
Although existing literature involves various types of preference relations
such as linguistic preference relations, fuzzy preference relations,
multiplicative preference relations, and so forth, in these formats self-
confidence level of DM is not taken into account. In this paper personnel
selection decision making process is investigated to select the most suitable
or optimal candidate for a vacant faculty position by considering linguistic
self-confidence level of DM based on preceding provided preference value.
Validity of the new considered approach has been proven by the numerical
examples that comprise 5 alternatives and 5 criteria.
Keywords: Decision making, Personnel selection, Fuzzy preference
relations, Self-confidence levels, Linguistic preference relations, Linear
programming, Human resources management.
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ÖZ
KARAR VERİCİNİN ÖZGÜVEN DERECELERİNE BAĞLI
PERSONEL SEÇİMİ: BULANIK MANTIK YAKLAŞIMI
Personel seçimi, şirketlerin genel başarı oranlarının belirleyici unsuru olarak
görülmektedir. Organizasyonların beşeri sermayelerini geliştirmeleri için
doğru personel seçimi yapmaları gerekmektedir. Bütün seçim süreçlerinde
olduğu gibi personel seçiminde de karar verme eylemi gerekmektedir. Diğer
bir deyişle, etkili ve verimli personel seçimi için karar verici durumunda olan
İnsan Kaynakları yöneticisi (veya yetkili alt personel) açık pozisyona esasen
yeterli sayıda uygun aday havuzu oluşturmalı ve uygun adayları
incelemelidir. Karar verici doğru ve en uygun aday seçiminde Doğrusal
Programlama (DP) gibi bazı etkili araçlardan yararlanarak adayların öncelik
derecelerini ve sıralamasını öğrenebilir ve karar vericinin alternatifler
üzerindeki tercih ilişkileri ile öncelik vektörü arasındaki bilgi sapmasını da en
aza indirgenebilinir. Oluşturulan yeni ve daha sağlam karar verme yaklaşımı
bulanık tercih ilişkisi ve özgüven derecelerini ele almaktadır.
Daha önceki edebiyat çalışmalarında bulanık tercih ilişkisi, dilsel tercih ilişkisi
ve çarpımsal tercih ilişkisi gibi birçok tercih ilişkileri konu edilmiş, fakat bu
tercih ilişkilerine ilişkin özgüven dereceleri veya seviyeleri konu alınmamıştır.
Bu çalışmada, karar vericilerin bulanık tercih ilişkileri üzerine belirttikleri dilsel
özgüven dereceleri dikkate alınarak personel seçimi için karar verme
sürecine ilişkin araştırmalar ve karşılaştırmalar yapılmış ve en uygun adayın
seçilmesi sağlanmıştır. Yeni yaklaşımın geçerliliği örnek problemlerle
kanıtlanmıştır.
Anahtar Kelimeler: Karar verme, Personel seçimi, Bulanık tercih ilişkileri,
Özgüven dereceleri, Dilsel tercih ilişkileri, Doğrusal programlama, İnsan
Kaynakları yönetimi.
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TABLE OF CONTENTS
Pages
ACCEPTANCE/ APPROVAL i
DECLARATION ii
ACKNOWLEDGEMENTS iii
ABSTRACT iv
ÖZ v
CONTENTS vi
LIST OF TABLES viii
LIST OF FIGURES ix
ABBREVATIONS x
INTRODUCTION 1
CHAPTER 1
DECISION MAKING PROCESS 2
1.1 Identifying Problem/Problem Recognition 3
1.2 Generating/Developing Alternatives 4
1.3 Evaluating/Analyzing Alternatives 5
1.3.1 Decision Making Criteria 10
1.4 Making a Choice 11
1.4.1 Making Better Decisions 11
1.4.2 Different Decision Making Styles 13
1.4.3 Psychological Traps That Cause Biases in Decision Making 19
1.5 Conclusion for Chapter 1 20
CHAPTER 2
HUMAN RESOURCE MANAGEMENT (HRM) AND
PERSONNEL SELECTION PROCESS
2.1 Importance of the HRM 21
2.2 The Recruitment and Selection Processes 22
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2.2.1 Recruitment 22
2.2.2 Selection 24
2.2.2.1 Interviews for Selection 25
2.2.2.2 Personality/Psychometric Tests 27
2.2.2.3 Clinical and Statistical Approaches 29
2.3 Conclusion for Chapter 2 29
CHAPTER 3
RESEARCH METHODOLOGY
3.1 Preference Relations-Representation of the Preferences 31
3.2 Fuzzy Preference with Self-confidence 33
3.3 Preliminaries 33
3.4 Methodology for the Solution 37
CHAPTER 4
RESULTS 43
DISCUSSION AND CONCLUSION 49
REFERENCES 51
APPENDIX 60
PLAGIARISM REPORT 61
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LIST OF TABLES Pages
Table 1: Fuzzy Preference Relation with Respect to C1 39
Table 2: Aggregated Preference Matrix 40
Table 3: Random Index (RI) 40
Table 4: Eigenvector Calculation 41
Table 5: λmax (Maximum Eigenvalue) Calculation 41
Table 6: Fuzzy Preference Relation with Self-Confidence 43
Table 7: Alternative Example 46
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LIST OF FIGURES Pages
Figure 1: The Decision Making Process 3
Figure 2: Hierarchical Structure for a Linguistic Variable and Values with
Associated Compatibility 8
Figure 3: Decision Style Model 18
Figure 4: Compatibility Function Example for ‘young’ Labeled Fuzzy
Restriction 37
Figure 5: Research Model 39
Figure 6: Triangular Fuzzy Numbers 44
x
ABBREVATIONS
AHP Analytic Hierarchy Process
CI Consistency Index
CR Consistency Ratio
DM Decision Maker
HR(M) Human Resources (Management)
LP Linear Programming
MCDM Multi-criteria Decision Making
NF Intuition-Feeling
NL Natural Language
NT Intuition-Thinking
RI Random Index
SF Sensation-Feeling
ST Sensation-Thinking
TOPSIS Technique for Order Preference by
Similarity to Ideal Situation
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INTRODUCTION
In our continuing lives we have to make various critical non-programmed and
programmed decisions. Individuals need to choose; the movie to watch; the
meal to cook; the university and field to study; the job to work; the strategy to
follow for organizational success; and so forth. Decision making is simply the
process of generating and analyzing feasible alternatives and selecting one
or more of them as required (Dessler, 2004). Judgment, rules, heuristics,
intuition, and creativity are all the key factors of decision making process.
Personnel selection is one of the important decisions to be made by the
manager; Human Resources manager in bigger companies or by general
managers or other related decision makers (DMs) in smaller companies in
order to find the most appropriate or optimal candidate to match with the job
requirements, and in turn to achieve the organizational goals and objectives.
The organizational goal may be an increase in revenue by 30% (percent) in
four years, or rise in profit or productivity by 5.5% in two years. To achieve
this goal manager may have to motivate and influence the personnel towards
achieving more by offering incentives (financial, praise, recognition, benefit,
and so forth), and may have to hire more associated personnel as required.
Hiring optimal personnel is crucial for the overall success of the organization.
Research Objective: Our purpose is to identify the best candidate for a
particular vacant faculty position taking into account the novel preference
representation format with self-confidence levels of the DMs. Fuzzy logic is
used in order to cope with the uncertainty and incomplete information
presented in expressing or indicating the preference of one alternative
candidate over another alternative candidate with respect to criteria. Using a
new approach we propose the use of self-confidence levels on indicated
fuzzy preference evaluations (according to judgment based on interview and
test results) of mangers or other related DMs who deal with the personnel
selection problem to decrease the information loss. By deriving a linear
programming model we intend to minimize the information deviation between
the DM’s preferences and the priority vectorw .
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CHAPTER 1
THE DECISION MAKING PROCESS
As a nature of a human being, we are perpetually subject to decision making
even in our daily simple problems. Deciding on what to eat, which university
to apply and study, the most suitable job to work on, how to improve or
develop business in a new direction through global expanding, whether to
shrink or pursue the standing position and wait for the best time to take an
action in the market, and all other such kind of related issues need decision
making capability (Aliev, Huseynov, 2014). According to Adair (2000)
decision making process comprises some stages such as problem
recognition, collection of data or information, developing alternatives to be
evaluated, choosing an alternative, and finally implementing decision and
evaluating the final results for constant and continued efficacy and
effectiveness.
Dessler (2004) and Solomon (2007) describe problems as the difference
between desired and the actual state, and it stimulates most decisions.
Decision is stated as a choice among available alternatives. Decision making
is simply the process of generating and analyzing possible available
alternatives and selecting one or more of them Dessler (2004).
Lunenburg (2010), states that decision making is a recyclable and an
iterative process that follows a logical sequence. For instance, to generate
and choose an alternative, decision maker (DM) must identify the problem
first and so forth. Recyclable means if any problem exists in any stage DM
can turn back to fix the problem aroused. It is shown in the figure 1.
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Figure 1: The Decision Making Process
(Lunenburg, 2010)
1.1 Identifying Problem/Problem Recognition
Solomon (2007) conceived that problem recognition occurs whenever a
person perceives that there is a small or big, simple or complicated problem
that is needed to be solved. He explains it with an explicit example; a driver
has a problem if he/she is at the end of his/her petrol in an unanticipated time
in a highway. The problem can also be recognized if there is a dynamic
environment in which “standard of comparison” or the working environment
for an individual is changed. For instance, a manager can be used to be an
autocratic leader who is the only one to make related organizational
decisions without regarding the employees’ ideas. However, as the
expectations or the standard of comparison of both the employees and the
organizations are changing and developing, manager alters her/his
leadership style to other styles such as democratic or participative style in
which the leader (manager) highly considers the decisions and the ideas of
the employees while making organizational decisions. On the other hand,
manager can change her/his leadership style when she/he recognizes
something going wrong with the democratic leadership style, and can use
backup style or in other words adopt autocratic leadership style to take more
control over employees and making related decisions.
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Human resource management department has organizational goals and
objectives to accomplish for instance; effective and valid recruitment process
(that includes personnel selection, training and development etc.) which in
turn will reduce employee training and employee turnover costs, increase
productivity and performance, and commitment (Harlan & Anne, 1980).
Thereby, setting these goals and objectives lays the groundwork for
identifying related problems, deciding which actions to follow, and finally
evaluating the results (Lunenburg, 2010). Consequently, decision is
considered as an effective decision if it was able to solve the identified
problem, in other words if manager was able to accomplish the desired goals
and objectives. Lunenburg (2010) states that effective decision maker
realizes the significance of correctly identifying the related problems.
According to Kepner and Tregoe (1997), first stage of decision making (i.e.
identifying problem) is the critical phase to reach a sound decision as a result
and also it is easier to decide on what the problem is not. They noted that
better problem definition leads to better quality decisions at the end.
Problems can be identified by internal and external environment auditing
(Lunenburg, 2010). Problem is realized according to the obstacles that
provide dissatisfaction. So, managers have to constantly control the progress
of their organizational activities in order to follow a smooth path which directs
to achievement of desired goals and objectives. To uncover possible threats
and opportunities that might affect goals and objectives managers can do risk
analysis with tools such as Scenario and SWOT analysis (Hillson, 2002).
These analyses can be used whenever decisions such as whether to expand
the business are considered.
Lunenburg (2010) also brought forward that identifying problem must be
explained with its situation that specifically causes the problem. Hence, we
can achieve the desired solution or decision as a result.
1.2 Generating/Developing Alternatives
Casey, Getz, and Galvan (2008) state that under intensive negative feelings
such as panic, anger, anxiety, and doubt people usually avoid generating
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alternatives and they are focused on deciding at once without searching for
alternative.
According to Stevenson (2009), the ability to make successful decisions
usually associated with generating suitable alternatives or criteria. The
decision makers have to develop and identify such alternative that can be
used as a solution of the problem. He states that identifying alternatives or
criteria depends on cost-profit analysis, improved productivity, return on
investment, image of the company, increase in demand and other related
subjects. For instance, investing in advanced personnel selection strategies
will return back with low turnover rate and accordingly low costs. The
creativity and the experience that a decision maker possesses under the
given situation nature, usually determine the possible quality and number of
criteria or alternatives. Identifying alternatives always carries risk of
overlooking (i.e. leaving out of account) other more possible predominant
alternatives. As a result, the solution reached might not be the optimal as it is
thought. On the other hand it might be not possible to identify or develop all
the possible alternatives because of the need for more deal of time, money
and creativity. However, it is a well-known principle that through more sound
exertions on developing alternatives, more justified and optimal decisions can
be made accordingly (Stevenson, 2009). Dessler (2004), states that expert
decision makers see alternatives as “the raw materials or elements of
decision making". According to them alternatives show a particular set of
potential choices that a manager needs to achieve for desired objectives. To
develop good alternatives decision makers must discover their creativity. This
can be realized by trying to develop as many alternatives as possible. Next
step is to expand searching for more information benefiting from experts’
experience, and other related people. The main point here is to remember
the targeted objectives, and by asking “How to achieve?” question decision
maker is able to generate related good alternatives (Dessler, 2004).
1.3 Evaluating/Analyzing Alternatives
Analyzing and comparing alternatives is the next step in decision making
process. Evaluation process is usually enhanced by using different statistical
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or mathematical tools and techniques such as linear programming
(Stevenson, 2009).
According to Dessler (2004), decision making carries risk and danger as it
mentioned earlier. He explains it as making decision today and feeling it
tomorrow. For instance, HR manager hires the personnel today with a higher
salary then other companies offer to get a competitive advantage, however,
after one month manager notices that paying such a higher amount of salary
makes other personnel reluctant because of unjust treatment. Here another
question arises; “Given the right objectives how to select an appropriate
alternative?”. Hereby, it is considered as the most difficult and complex part
of decision making process which needs future forecasting. Perfect or certain
conditions and environments comprise the relevant parameters such as
stable demand for the company’s products or services, and the cost of
production, which have known consequences and values for the future. Since
the outcomes are known, decision makers make their decisions under
certainty. According to Statistical Decision Theory, in organizational problem
solving and decision making processes managers confront with three
conditions of environments; which are certainty, risk, and uncertainty.
Certainty condition under classical theory can be reached with a relatively
stable economy and competitive equilibrium. Simon (1979) describes the
decision making under uncertainty as bounded rationality that is used to
replace the classical theory of rational choice of human beings. This new
model describes how decisions should be made when DM has to search for
alternatives that have imperfectly known consequences (such as expected
values of future sales, and demand) because of uncertainty exists in the
environment and the limited computational capabilities. Simon (1979) states
that utility maximization is not always desired in searching for alternatives.
Instead, DM terminates the searching for other possible alternative whenever
he/she finds the convenient one that meets his/her aspiration and desire for a
good alternative. He called this selection model “satisficing”. In decision
making approach DM can be satisfied by either discovering the optimal or
best solution by working out the burden of mathematical computations to
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tackle a more simplified world problem or choosing the satisfactory solution
that is more relevant to a realistic world situation. Simon (1979) also states
that both approaches are used interchangeably in management science
problems. With this new approach, Simon (1979) brought forward that human
beings cannot be always fully rational. Therefore, Zadeh (1975) has
suggested an approach that can manage the uncertainties in real decision
making processes. The theory suggested by Zadeh (1975) is fuzzy set
theory, which can be used as the mathematical fundamentals for the creation
of an eligible formal basis for bounded rationality ideas for more realistic
decisions (Aliev & Huseynov, 2013). Aliev and Huseynov (2013) state this
relationship on the basis of imperfect or limited information knowledge of
human beings (which is the basic focal point of bounded rationality), and their
desire for evaluating information in linguistic variables. Imperfect information
refers to vague, uncertain, unreliable, indefinite/incomplete, imprecise or
partly true information (Zadeh, 2009). Zadeh (2009) as cited in Imanov,
Ozkilic, and Imanova (2017) states that it is very rare for the information
presented in a real world situation or problem to be the perfect information.
Fuzzy set theory includes linguistically described imperfect information.
According to Zadeh (1975), linguistic variable has values in the form of words
or sentences in an artificial or natural language (NL). This results from the
limited computational abilities of human beings, who are thinking and
reasoning in natural language propositions instead of complex mathematical
expressions. From another point of view, human beings who have limited and
imprecise knowledge prefer linguistic evaluations that allow vagueness,
uncertainty, and impreciseness in decisions. Consequently, DMs achieve
satisfactory and approximate results (as bounded rationality suggests) and it
is called approximate reasoning in fuzzy logic (Aliev & Huseynov, 2013).
Approximate reasoning connotes neither exact nor very inexact reasoning
(Zadeh, 1975). To put in another way, approximate reasoning is the process
of achieving a possible imprecise result from the given imprecise
assumptions (Pal & Mandal, 1991). Therefore, fuzzy logic is dissimilar with
the classical Boolean logic.
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Zadeh (1975) explains linguistic variable with some examples; for instance,
age, temperature, height are linguistic variables if the given values are
linguistic (qualitative) instead of numerical. Age has values such as young,
not young, very young, old, not very young, not very old, etc., instead of 21,
22, 23, 24, etc. So linguistic variable’s (e.g. Age) values (young, old) are
generated from the primary terms (age), a collection of hedges such as very,
slightly, extremely, quietly, etc., and connectives of ‘and’ and ‘or’. However,
age is generally a numerical variable so; we use compatibility function that
associates with the linguistic value of the given variable. For example, value
or fuzzy subset ‘old’ A associates each age within the given age interval (e.g.
[0, 100]) with a real number in the interval [0, 1], that shows the compatibility
or grade of membership of any age u in the linguistic value ‘old’ A, μA(u), μA:
U → [0, 1]. Compatibility of age 80 with ‘old’ might be 0.8; on the other hand,
27 might be 0.2.
Figure 2: Hierarchical Structure for a Linguistic Variable and Values with Associated
Compatibility
(Zadeh, 1975)
Furthermore, Pal and Mandal (1991) as cited in Zadeh (1975) state that
Boolean’s two valued logic of truth values or propositions that can be either 0
or 1 (false or true, respectively), is limited with crisp binary values and
intolerable to imprecise and incomplete information. However, fuzzy logic
also provides the intermediate values within the crisp values of 0 and 1. Truth
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qualifications such as very true, not very true, false; possibility qualifications
such as possible, almost possible, almost impossible; and probability
qualifications such as likely, unlikely, more likely, extremely likely, probable,
improbable, are all three basic qualification types of fuzzy logic that enable
the linguistic responds with human reasoning to the questions such as “Is
North Cyprus close to Turkey?”. The answer may be fairly true, quite true, not
very true, and so forth.
As it is stated in Aliyeva (2017) classical decision making approaches are not
practical in uncertain information or vagueness existing environment. In such
an environment DM is provided with extended classical multi-criteria decision
making (MCDM) in other words, fuzzy (type-1 and type-2) MCDM that enable
DM to explain his/her preferences in incomplete information and to reach a
sound decision.
Dessler (2004) states three steps for an effective evaluation of alternatives.
Firstly, through process analysis DMs have to put themselves into the future
in their minds. As Dessler (2004) states anticipating and looking into the
future or tomorrow is a valuable analytical skill. In his book he states process
analysis as solving the existing problem by thinking broadly from the
beginning to the end of the process, using the imagination at each phase to
guess what actually could happen by choosing an alternative.
Secondly, it is suggested to eliminate inferior alternatives or in other words,
delete them from the possible alternatives list if they have little or no
possibility of success.
And finally, author proposes organizing the rest of alternatives in
Consequences matrix form. This consequences matrix or table shows the
DM’s objectives (horizontally), and alternatives (vertically). In each box of the
table, there is a short statement that shows the related consequences of one
alternative to the associated objective.
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1.3.1 Decision Making Criteria
As Stevenson (2009) states, DMs develop a payoff table that estimates, or
determines the payoff or outcome related to each possible future conditions
or state of nature. Evaluation process of alternatives is conducted through
decision criteria for uncertainty such as;
• Maximin is choosing the best possible payoff alternative among the
worst possible payoffs. This criterion is based on pessimistic
approach.
• Maximax is choosing the alternative with best payoff or outcome,
without considering any payoff lower than the best. This is an
optimistic approach.
• Laplace criterion relies on suggestion that the states of nature are
equally possible. With this approach DM chooses the alternative with
the best average outcome or payoff among all other alternatives.
• Minimax regret criterion seeks to minimize the regret by minimizing the
separation between the best possible payoff alternative (for each state
of nature) and the given possible payoff.
Decision making under risk lies between the certainty and uncertainty
dominated environments. Here, for each state of nature the probability of
occurrence is known. Generally, expected monetary value criterion approach
is used to make decisions under risk. The expected value is computed by
summing up all the weighted payoffs (multiplying the related probability of
occurrence by the payoff for each state of nature) for an alternative given.
The alternative with the highest expected value is selected.
A decision tree is another approach to be used in decision making instead of
payoff tables, especially for evaluating situations which involve sequential
decisions such as whether to expand a company after realizing a higher
demand for goods/services than expected. Its branches and nodes, i.e.
schematic representation shows the possible available alternatives and their
possible outcomes, payoffs, or returns. As a result of analyzing, alternative
with the highest expected value or return is chosen as a decision.
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DM may want to obtain the perfect information for example about consumer
behavior for marketing research. To receive that additional information DM
might have to pay money to related legal experts. Expected value of perfect
information is the equation (expected payoff under certainty - expected payoff
under risk) to find the maximum amount of tolerable cost or spending to
obtain this additional information (Stevenson, 2009).
When DM confronts with the two states of nature such as low demand and
high demand, it might be useful to conduct sensitivity analysis in order to
designate the range of probability that gives the same alternative with the
best payoff, in other words, graph shows how much the probability for state
of nature can be changed to still obtain the same best alternative.
1.4 Making a Choice
After evaluating and eliminating the alternatives in the previous stage DM has
left with two or more possible alternatives (Lunenburg, 2010). DM should
make a choice according to main original objective such as attaining newly
graduated personnel for a vacant position in finance department. However if
the cost of training was important, manager would think about other
convenient candidates who does not need the program of training and
development which indicates more spending. Dessler (2004) declared that
unless the right choice is made analyses conducted by a DM is useless.
Gilboa (2010) proposes to choose the alternative that is feasible, satisfactory,
and acceptable. Lunenburg (2010), states that the DM might be able to
choose more than one alternative simultaneously. Author explains it with a
simple example of hiring an English teacher. If the principal is between two
strong candidates, he/she can propose the vacation to one candidate and
keep the other candidate under observation. So, if the first candidate does
not meet the standards, school principal will already have the good
alternative to replace the teacher.
1.4.1 Making Better Decisions
Dessler (2004) put forward some techniques that can help the DM to improve
the quality of making decisions.
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1.4.1.1 Increasing Knowledge
As a first step, increasing the knowledge is advised. Even for simple and
daily decisions basic information is needed. For more complicated decisions
more knowledge and information is required. To increase the knowledge DM
may always ask more and more questions such as “Who? What? When?
Where? Why? How much?”. For example who is selling the land and why?,
how much can you afford to pay? etc. are all objective related questions.
Experience is the treasure for decision making that cannot be replaced.
Internship during education, entrepreneurship, global expansion, marketing
development, etc. are all act as negative and positive directors for upcoming
operations.
Using consultants’ or other people’s experience which the DM lacks is a
substantive issue.
Carrying out research relative to the targeted objective can enable the DM to
achieve more information. For example, searching for the trade barriers,
culture, and traditions adopted in the country that the company wants to enter
will give a rich information base about its economic, politic, sociologic, etc.
situations.
1.4.1.2 Intuition of DM
Dessler (2004) explains intuition as a cognitive process. An individual makes
decisions instinctively, based on that individual’s accrued knowledge and
experience. Intuitive decision makers rely on trial-and-error method, because
without considering much more available information, they tend to try one
alternative after another and so on until the DM finds the best or optimal
alternative according to their inner nature. On the other hand, systematic
decision makers tend to follow a more logical and step by step approach in
order to solve a problem. Studies about both types of decision makers
indicates that, DMs in situations which allows enough time for the evaluation
13
of all possible alternatives, can be systematic. However, using instincts for
better decisions is also needed.
1.4.2 Different Decision Making Styles
Since many years, researchers have been studying on different decision
making styles adopted by DMs. For example, school principals, HR
managers, sales directors, finance managers, etc. are all responsible for
management functions of planning, organizing, leading and controlling, and
all of these management functions (regardless of title or level of managers)
involve the decision making. (Dessler, 2004). However, managers and other
DMs make decisions using different approaches or styles. Therefore, it is
worthwhile to discuss different decision making styles.
General Decision-Making Style (GDMS)
Scott and Bruce (1995) have suggested that decision making style is closely
associated with the individual’s customary and learned response, rather than
his/her personality traits, in a given specific situation. General Decision-
Making Style involves five decision maker categories; intuitive, rational,
spontaneous, avoidant, and dependent.
• Intuitive: This style relies on an individual’s inner senses or feelings of
what is right rather than searching for a rational source of reason in
making decision. Scott and Bruce (1995) stated that intuitive decision
makers prefer to use their “hunches and feelings” primarily in decision
making.
• Rational: Decision makers like to search in detail to gather correct
information, and evaluate the alternatives in a reasonable manner.
Primary purpose of the rational style is to make logical and systematic
decisions, by considering all angles of the alternatives chosen to
achieve the required goals and objectives. Planning careful decisions
(programmed decisions), and verifying the source of information are
other characteristics of rational decision making style.
14
• Spontaneous: Decision makers generally have impulsive nature during
making decisions. They make quick decisions that are seemed as
natural or native. Time is important so decision maker act immediately
to complete the decision making phase, as soon as possible.
• Avoidant: Decision-maker has propensity to delay or cancel the
decision making process as much as possible, and make last minute
appeal decisions whenever they confronted with pressure. He/she
probably has unsettling feelings towards making decisions and that
can be the reason to avoid decision making.
• Dependent: Dependent decision maker usually refer to or ask
somebody for advice before making important decisions. Support for a
direction from others is critically important for a decision maker.
Myer’s (1976) work on “human information process” is one of the preliminary
approaches towards decision making styles, and this study would provide a
basic for further implications and studies. Carl G. Jung’s work on
“psychological types” explains the variances in human behavior which are
associated with the individuals’ dissimilar preferences to use their minds as a
result of difference in mental functioning or use of different hemispheres of a
brain. Individuals’ discrete perception and judgment of situations are all
related concepts for differences in behavior. His theory of psychological types
helped Jung to formulate a model for methodological investigation of these
differences in human behavior. Psychological types consist of four
dimensions which are Extraversion – Introversion (EI), Sensation– INtuition
(SN), Thinking-Feeling (TF), and Judging-Perceiving (JP). Although these
four dimensions or combinations provide a matrix of 16 distinct personality
types, four main styles among them can be taken to produce decision making
styles by taking into account that while perception is carried out by Sensation
S, and/or Intuition N, judgment is based on Thinking T, and/or Feeling F.
Hence four decision making styles are produced by congregating above
mentioned two ways of Perceiving with two ways of Judging. The four styles
produced are sensation-thinking (ST), sensation-feeling (SF), intuition-
15
thinking (NT), and intuition-feeling (NF). The ST decision making style owned
individual or manager gives full weight to the facts and details that can be
gathered and verified rationally by her/his senses. This style is mainly based
on strict rules. The SF decision making style owned individual, also
emphasize perception by her/his sensations. However, in this case individual
likes to judge the situations by her/his feelings or creating a friendly and a
sympathetic environment. NT style users prefer to seek for new truths rather
than what is seem to be true by only taking the summary of the situations.
They rely upon to see the big picture rather than a part of a puzzle. NF style
user individuals bear combinations of intuitive and feeling characteristics for
perception and judgment respectively. NF processing style relies upon the
ability of understanding and communicating with the people in an enthusiastic
and insightful manner (Myers, 1976). They can be illustrated by the according
vocations as; ST as a technician, NT as a planner, SF as a teacher, and NF
as an artist. Furthermore, description of the above mentioned decision
making styles depend more on how the individual judge (process) the
information, rather than how it is perceived or gathered (Taggart & Robert,
1981).
Individuals as managers should be flexible in terms of processing decision
making styles (Barnard & Chester, 1938), to be able to survive in or cope
with the changing business management environment. Due to these changes
managers should be able to fit their decision making styles to different
confronted situations. Hence, mangers may sometimes need to decide as a
technician, planner, teacher, or an artist (Taggart, Robert, 1981).
According to Taggart and Robert (1981) as cited in Ogarca (2015), managers
could be distinguished related to their approached decision styles such as;
“Improve your work performance or you will be dismissed from your post!”
(Factual, impersonal, practical) can be an example response of a ST
manager, “If your performance does not improve, you will be sent to another
post” (Prospective, impersonal, logical) might be a NT manager’s approach
which is a more middle-of-the-road course of conduct, manager might
embrace the SF style and say “You need to evolve yourself, what can we do
to help you develop yourself?” (Factual, personal, sympathetic and friendly),
16
and lastly, “You are able to increase your work performance, we want to offer
a suggestion” (prospective, personal, enthusiastic) can be an example
approach of a NF style adopting manager. As a result, managers should bear
in mind that they can embrace any one of the above mentioned decision
making styles that fits best to the different situational factors such as
restricted time frame, behavior of the subordinate employee, or team
principles.
One of the best known decision making style models is stated by Rowe and
Mason (1987). According to this model, individuals use dominantly either
their right hemisphere or left hemisphere of brain. Rowe and Mason (1987)
stated that style of an individual depends on his/her specific tendency to think
and act in a given situation. In other words, decision style of a person is the
way, that he/she perceives and understands the stimulus and responds it in a
preferred manner, according to personality and background. They identified
two key dimensions that describe the working of our mind. They are cognitive
complexity and value orientation. An individual may have a high tolerance to
uncertainty or low tolerance to uncertainty. Values can be directed towards
human and social concerns or towards technical concerns and duties.
Thereby, composition of these two dimensions can generate four Cognitive
Complexity Model decision making styles: directive, analytical, conceptual,
and behavioral.
• Directive style is characterized by low cognitive complexity for which
individuals use less complex mental structures to find the nuances in a
given situation, and associated with the Jung’s sensing-thinking or ST
style (Robert James Moretti, 1994). They have low tolerance for
ambiguity and are fact oriented. They value tasks and technical
concerns. Directive managers involve in structured (or planned) tasks,
and technical concerns. They are punctual and offer quick satisfying
but not necessarily optimal solutions among limited alternative
solutions. Managers bearing directive style tend to be more autocratic
or dominative over other employees.
17
• Analytical style is related to Jung’s preference of intuition-thinking or
NT style. Analytical thinkers generally have high tolerance for
ambiguity, and directed towards task and technical concerns. They try
to reach the possible extensive perspective through analysis or
examination, planning, and forecasting. Although both directive and
analytical styles are autocratic and logical in approach, in analytical
approach, individual evaluates the alternatives to make the optimal
decision.
• Conceptual style is associated with Jung’s typology of intuition-
feeling or NF style and has high tolerance for ambiguity and
uncertainty. Conceptual thinkers are oriented to social concerns and
highly value people. They are idealist thinkers, and like leaders
encourage participation and contribution. They focus on ethics in
conducting business. Conceptual style is characterized by the need for
achievement through exploring new opportunities, formulating new
strategies, and being creative and risk taker, in a large time period.
They need recognition, freedom, praise or positive feedback.
• Finally, behavioral style related to Jung’s perspectives of sensing-
feeling or SF is characterized by low tolerance for ambiguity (low
cognitive complexity). Behavioral style decision makers value people
and social issues. They prefer face-to-face communications and
discussions rather than written statistical or quantified reports as in the
case of conceptual style. They consider the subordinates’ decisions
and suggestions. Behavioral managers are persuasive, supportive,
empathetic, and they avoid conflicts.
Rowe and Mason (1987) have stated that a typical individual has one or two
dominant styles that are mentioned above. Furthermore, most people have
one or two backup (supportive) styles to be used. They stated that alignment
is the matching of an individual’s style to the specific demands of decision
making structures. Conceptual and Behavioral styles have less logical
approach compared to directive and analytical styles. Left hemisphere of our
brain is dominant if we use analytical and/or directive styles, which are task
oriented. On the other hand, if we use conceptual and/or behavioral style,
18
then right hemisphere of our brain becomes dominant, means that we are
people oriented.
Rowe and Boulgarides (1992) have stated that an individual’s decision style
may account for the behavior of that individual such as managing and
responding stress, problem solving capabilities, and the way he/she thinks.
Figure 3: Decision Style Model
(Martinsons & Davision, 2007)
Weighing alternatives includes numerically (quantitatively) weighing each
alternative’s importance related to given criteria (Dessler, 2004). Alternative
ranking or weighting can be objective i.e. based on known and certain facts,
subjective i.e. based on DM’s judgment as in fuzzy preference relations, or
evaluation, information obtained from literature survey, and experience
(Fülöp, 2005), or the integration of both objective and subjective
assessments to make the decision more credible and balanced (Wang &
Parkan, 2005). Decision matrix is used to illustrate and ease the process of
weighting or assessment of criteria based alternatives.
19
Pursuing right time for decision making is crucial. DM in a bad mood tends to
be more aggressive and intolerable, whereas, in better situations, DM tends
to be more relaxed, indulgent, and generous to a fault. Tolerance for faults is
a great advantage when the final decision couldn’t bring the desired results.
Improving creativity for better, original decisions is a must as Dessler (2004)
said. Rewarding and recognizing the creative ideas, encouraging
brainstorming without strictly criticizing the participants involved, being open
to different point of views and perspectives, opinions, management levels or
departments, all are acting as key factors for the creativity. Another point is to
provide suitable or comfortable places with interesting attributes for
participants and to allow written ideas for more introvert participants to
express their creativeness.
1.4.3 Psychological Traps That Cause Biases in Decision Making
Heuristics are the rules or approximations that are used in decision making
process through previous experiences gained to make a new choice, instead
of systematically following the decision making steps such as gathering as
much information as possible. Although heuristics may involve biases, they
may also be very useful in situations where imperfect information or under
uncertainty conditions exist (Gigerenzer & Gaissmaier, 2011). Anchoring is
another trap that offers itself by putting unnecessary high weights to the firstly
received information. Hammond, Keeney, and Raiffa (1998) define the
anchoring with an example of a marketer who tries to anticipate the future
sales of products in a dynamic marketing environment by only looking at the
previous years’ sales lists (first available information), which in turn produces
unanticipated sales results. They recommend DMs to check for more
available information from other people or sources, and to give enough
weight to other information achieved. Dessler (2004) describes psychological
set as the barrier approach to DM’s creativity to generate alternative
decisions. Difference in perception also considered as a trap in decision
making. As the all DMs’ points of views are not identical, interpreting
problems differently is inevitable. So, marketing manager must review the
20
organizational problems not only in point of marketing, but from financial, HR,
accounting, production, and etc. departments also.
1.5 Conclusion for Chapter 1
This chapter provides the basic principles and background information for
decision making process, which comprises both daily and administrative
decision making under certainty, risk, and uncertainty or with imperfect
information given. Decision making appears in every stage of our lives, so to
think out of box we need to break the barriers or psychological traps in front
of our creativity for more effective and efficient decision making process.
21
CHAPTER 2
HUMAN RESOURCE MANAGEMENT (HRM) AND
PERSONNEL SELECTION PROCESS
2.1 Importance of the HRM
Wright and McMahan (1992) have stated that Human Resource Management
system is the pattern of programmed-planned HR activities to be
accomplished in order to achieve the organizational goals and objectives. On
the other hand, all managers involve in basic recruiting, interviewing,
selecting, training, compensating personnel processes, and that is why all the
managers need these fundamental staffing skills. Also, HRM was used to
known as personnel management. (Dessler, 2004). Therefore, employee and
personnel are used interchangeably in this paper.
HRM consists of all management decisions and practices which have a direct
impact or influence on human recourses that are the main resources (capital)
for organizations in order to achieve organizational goals and objectives.
(Shahnawaz & Juyal, 2006). Strategic HRM is achieved by generating and
implementing the HR strategies which are integrated with the organizational
strategies that assist the company in accomplishing the general
organizational goals and objectives (Armstrong & Taylor, 2014). Becker and
Huselid (1998) put forward the significant positive impact of HR practices
such as recruitment and selection on personnel’s motivation, creativity, and
productivity. Huselid (1995) as cited in Wright, Gardner, and Moynihan
(2003), has emphasized the effect of these practices on lower turnover,
higher corporate performance, and more productivity.
22
According to Barney (1991) and, Lado and Wilson (1994) sustainable
competitive advantage can be achieved through HR practices by allowing
development of core competencies, generating organizational knowledge,
and building strong social relationships. The automated machines are
impracticable when there are no educated and trained human personnel or
workers to start those machines. Therefore, HRM is the essential, inimitable,
and bigger part of management and its practices should be prominent for the
organizations’ strategic success. (Dessler, 2004). Walton and Lawrence
(1985) state basic function areas of HRM as job analysis (design), hiring
required employee with appropriate personnel selection, training and
development practices for personnel improvement, rewarding and appraising
system (financial and motivational), influencing employee towards
participation, and employee compensation (wages, salaries, insurance,
incentives, etc.).
2.2 The Recruitment and Selection Processes
Huo, Huang, and Napier (2002) emphasized that the selection of the most
appropriate employees in order to cover the vacant positions or vacancies is
the fundamental purpose of all HR and line managers. As Dunnette and
Borman, (1979); also Mendenhall, (1987) had explained why this is important
for the organizations by emphasizing that the misfit between the employee
and the job could highly influence the performance of other HRM practices
and functions, and in turn all the organization.
2.2.1 Recruitment
Recruitment is the process of finding the most needed or desired resources
of an organization (Slusarczyk & Golnik, 2014). The managers who decide to
hire the new personnel should identify the basic job requirements through job
analysis as a first step. Then in accordance with the given information
company personnel or HRM develops the job description and job
specification. Job specification comprises the needed skills, experience and
traits needed by the personnel or employee to help to achieve the
organizational goals and objectives, whereas, job description includes the
23
information and summary about the job itself right alongside the required
duties of the job. (Dessler, 2004).
Attracting the possible applicants to the vacant position, or simply the
recruiting process can be conducted in two ways, which are within
company/internal selection, or through advertising. (Slusarczyk & Golnik,
2014).
Internal. Gusdorf (2008), states that internal selection or in other words,
promotion from within provides motivation, and enhances performance and
productivity of employees as a result of desire to achieve personal goals of
status and increased salary. The superiority of inside applicants is their
familiarity and likely commitment to company. Therefore, training of an
employee in order to learn company’s principles and policies is not required.
The drawback is the possible loss of more creative, productive, or expert
external personnel (Gusdorf, 2008). Also it is stated that promotion from
within is more applicable for top line managers.
Personnel referrals and job posting are used in internal selection.
Traditionally, publicizing the vacant faculty post was conducted through
posting the announcement on bulletin boards. However, as a result of
advanced technology announcements with job description or specification
are conducted through intranet and e-mail system. Current employee
references become more important when the process results with a win-win
situation or in other words, employer gains the new needed employee and
the existing employee receives the reward. (Gusdorf, 2008).
External. External recruitment can be accomplished through private
employee agencies where experts send the related skills possessed
applicants. Although its fee is high, process reduces the time needed for the
recruitment. Advertisement is another alternative to announce the open
position and appeal the applicants. Dessler (2004) emphasizes the
importance of appropriate medium of advertisement to attract the qualified
personnel. Announcements can be through local news papers and journals,
24
TVs, radios, internet in terms of online applications, social media
announcements, and etc. Today many big companies use internet or online
applications which decrease the cost, enable quick and lots of responses by
a simple process of posting the announcement on the homepage, and also
attract distant applicants, instead of traditional expensive and time
consuming advertising (Gusdorf, 2008).
2.2.2 Selection
Personnel selection is the decision made by the manager or in other words,
by the DM to choose the optimal or best fitted personnel among possible
alternative pool of applicants or candidates, using some selection tools and
techniques (Dessler, 2004; Gusdorf, 2008). Adequate selection of personnel
is crucial for the manager’s success, because the success of manager
depends on his/her personnel’s success in operating the given
responsibilities. As a consequence, good personnel selection enables the
accomplishment of organizational goals and objectives. (Slusarczy & Golnik,
2014).
According to Bratton and Gold (2003), validity and reliability play great roles
in the selection process. Reliability involves the control of whether the resent
evaluation (judgment) results of applicants are similar or same with the
results achieved in the past. Furthermore, test scores become reliable if the
results follow the similar pattern today. Validity involves the appropriateness
of the selection procedure that judges the candidates’ skills and abilities.
Although there are no uniform international technique for personnel selection,
most applied screening practices are tried to be discussed in this paper.
Interviews and psychometric tests are known as the most popular selection
or screening techniques among all of the selection devices (Harlan & Anne,
1980). Furthermore there are other techniques such as the resumes or CVs
of the applicants; application blanks to gather applicants’ background
information such as education, military status, language knowledge, past
experiences, etc.; work samples enable the DM or employer to demonstrate
25
the cognitive skills, or coordination and planning ability of an applicant in
implementing the knowledge to the practice; detectors of deception is used to
examine the tendency towards lying, theft, or honesty using tests as paper
and pencil; thought samples measure the motivation for achievement, power
and affiliation, but device is considered to be less reliable; and written
structured recommendations of applicants that shows the work history or
success of an applicants can be a good source for screening them. Prior to
conducting the selection process, managers should consider the reliability
and validity of the technique to be used. Selection technique should
appropriately measure the quality of the candidate or applicant associated
with the job requirements (Harlan & Anne, 1980). As it is mentioned by
Robertson and Smith (2001), overall researches show that applicants prefer
unstructured interviews and work samples rather than tests.
2.2.2.1 Interviews for Selection
Surveys put forward that the most preferred personnel selection technique is
interview. Interviews are used widely and in different concepts or formats.
Interviews can be grouped in three formats: structured interview, semi
structured interview, and unstructured interview.
• Least applied interview is structured interview. Relatively close-
ended questions prevent deviations from the interview schedule of
order of questions asked, and any possible probes, and also this
interview provides standardized questions rather than specific or
tailored (Harlan & Anne, 1980). Therefore, interviewer will not reach
an idea for the candidate’s certain behavior. Although these
weaknesses, many researchers have shown that structured interviews
are quicker to conduct, reliable and valid (Schwab & Heneman, 1969;
Wiesner & Cronshaw, 1988). According to Moscoso (2000) candidates
that possess comprehensive knowledge and job experience tend to
prefer structured questions as this type of interview may be best fit to
their positions. On the other hand, some of the researches put forward
the importance of judgmental assessment on executives’ selection
(Guion, 1998). Dipboye (1994) states that interviewers use more
26
formal job analysis to gather detailed information about required job
skills, abilities and knowledge by the structured interviews.
• Unstructured interviews consist of relatively open-ended questions.
Some questions could be added or eliminated as required, and this
explains why they sometimes called discovery interviews, and
interviewers hereby are highly motivated, as Harlan and Anne (1980)
state. This method enables candidate to deeply explain his/her own
feelings through choosing their own words to answer the questions.
Besides, it enables interviewer to understand the way of candidate
acts. This technique enables the interviewer to change or adapt the
different question for different candidates (Schmidt & Hunter, 1998) for
possible in-depth understanding of candidates’ capabilities. Dipboye
(1994) states that unstructured interviews are mostly preferred by NF
or intuitive-feeling style owned interviewers whose decisions are
mostly based on intuitive judgments and feelings (as it has been
mentioned in the first chapter). According to Dipboye (1994),
unstructured personnel selection interviews are less reliable and valid
than structured ones, because they include more subjective
information gathering and intuitive rankings. Halo effect can be given
as an example of cognitive bias. This situation can be described with
an example of beautiful or attractive candidate being perceived as
more intelligent and suitable for the job requirements although other
candidates may have similar or identical qualifications and skills.
Certainly, it may show differences within different occupations and
situations so, it is not correct to state a direct relation between
attractiveness bias and the personnel selection process (Chiu &
Babcock, 2002; Caki & Solmaz, 2013). However, candidates may
prefer unstructured interviews as they provide more sincere or
informal interview conditions, and enable to express themselves more
easily. Other possible reasons for this preference by interviewers may
be limited knowledge about structured interviews, and power desired
to judge the results or to prevent the monotony of structured questions
(Zee, Bakker, & Bakker, 2002).
27
• Most preferred type is semi-structured interview as Dipboye (1994);
Harlan & Anne (1980) state. It is comprised of the particular broad
area of questions such as related to past experiences, education life,
accomplishments or rewards, and etc. (Imada & Hakel, 1977). This
technique is based on gathering certain data about each candidate
that will provide fundamental, but usually not comparable information
as each interview is somehow specific by its length of time,
sequencing, phrasing, and different interviewee and interviewer. It is
considered as more time consuming format.
• There are also group and multiple interviews (Harlan & Anne, 1980):
Group interviews involve two or more (multiple) interviewers asking
questions jointly to a single candidate (sometimes called panel interview); an
interviewer with a group of candidates to be interviewed; or a combination of
them which includes multiple interviewers with multiple candidates.
Interviewers can compare the information gathered to understand the
applicants’ understanding of situation. Also it can give an idea about ability of
the applicant to work in a group. A group interview with multiple interviewers
ensures higher validity as it reduces possible biases through pool of
interviewers’ information (Dipboye et al., 2001).
Multiple interviews involve one candidate and two or more independent
interviewers in multiple independent interview sessions, asking different
questions. This reduces the possible biases for selection decisions and
makes it more valid technique through combining the assessment of one
interviewer by the assessments of another interviewer in order to fill the
knowledge gap (Harlan & Anne).
2.2.2.2 Personality/Psychometric Tests
Personality tests such as Big Five personality tests or Myers-Briggs
personality indicator based on Jung’s personality typology are conducted to
gain information about certain interpersonal and motivational strengths of the
candidates that in turn might affect job related performance and absenteeism
28
(Harlan & Anne, 1980). For instance, based on five main characteristics of
each candidate, they are scored and then according to the results achieved
through testing, managers, interviewers or DMs become able to decide
whether the candidate fits with the job requirements. Openness,
Conscientiousness, Extraversion, Agreeableness and Neuroticism are the big
five personality factors. For example, for veterinary, friendly and careful
nature is required, which in turn depends on the ‘openness’ and
‘agreeableness’ characteristics. According to 12 years study on the
personality tests’ validity of usage in personnel selection process, it is shown
that personality tests might be merely valid when it is applied to specific
department with a specific purpose and situation (Guion & Gottier, 1965). For
instance, some tests may be valid for a particular department whereas,
similar tests may be invalid within a different department. Therefore, DM
should do the necessary research about how to measure and test personnel
in a particular situation and with a particular purpose before conducting the
test. On the other hand, according to Barrick and Mount (1991) personality
test of Big Five personality dimensions have a particular effect on job
performance of personnel from different occupations. Their study concludes
that Conscientiousness, Extraversion, and Openness to Experience have
positive significant impact on job performance and they are valid predictors.
Other dimensions (Agreeableness and Emotional stability) are also valid
predictors but with less positive correlation. Many studies for example,
Christiansen et al. (1994); Ones and Viswesvaran (1998) have underscored
the validity and reliability of personality tests in personnel selection by testing
the fake responses given by the candidates that highly reduce the validity.
Faking practices of candidates exist as a result of the desire to create a good
image through responding by desired right or positive answer, unless the
candidates try to be honest (Morgeson et al., 2007). Consequently, faking
present candidates will alter the test’s results that include biases in ranking
order of candidates. Morgeson et al., (2007) put forward that although faking
indicators are not effective in increasing validity, it may be useful to use
questions that provide multiple statements or scales with equal perceived
desirability responses and in turn candidates without careful and linked
responses in personality tests might be removed.
29
2.2.2.3 Clinical and Statistical Approaches
Clinical selection approach is based on the interviewer’s or DM’s judgment
on an applicant’s test scores and information gathered from the
(unstructured) interview (Born and Scholarios, 2005). DM’s perception plays
a big role in selecting the appropriate candidate to fit the vacancy.
Experience and intuition of DM enable him/her to turn the data gathered into
a final decision (Färber, Weitzel, & Keim, 2003). Färber, Weitzel, and Keim,
(2003) have stated that although the subjectivity and unreliability exist in the
decision, clinical or judgmental selection approach might be very useful than
statistical or mechanical solutions in some situations. They explain
mechanical approach as objective, isolated from human interference, and
transparent data that should be quantifiable. Statistical method for the
personnel selection process might be handled using weights to assign the
most necessary criteria through detailed job analysis and job description
(Born and Scholarios, 2005). For instance, applicants might be needed to get
at least the minimum required score for each necessary and most required
criterion given during interview, tests or work samples (the multiple cut-off
model). Finally, DMs compare applicants according to achieved scores and
make selection decision accordingly. Researches has shown that mechanical
method is more valid and reliable than clinical/ judgmental method, but the
combination of two separate methods generates even more accurate results
(Ganzach, Kluger, & Klayman, 2000; Färber, Weitzel, & Keim, 2003; Carless,
2009). An example for this combination might be integration of DM’s overall
aggregated judgment about an applicant with his/her scores received from
tests and interviews.
2.3 Conclusion for Chapter 2
We can conclude with an overall interpretation about recruitment and
selection practices as the fundamental practices of HRM that may provide a
competitive advantage for the company in the long run. Furthermore, in order
to achieve this competitive advantage DMs should avoid biases or errors in
personnel selection processes. Being able to select the most suitable
personnel that matches the job requirements involves decision making based
on more rational and statistical choices through weighting or ranking
30
personnel, instead of decision that is merely based on more intuitive or
judgmental interpretations (clinical approach).
Many researches put forward the related studies about the validity of
interviews. As a result, it is indicated that for many situations and occupations
more structured interviews provide more validity, or in other words, they
measure what is required - the most suitable personnel.
Personality tests which are mostly used in personnel selection might be
improved to increase their validity by decreasing the level of fake responses
of candidates. In fact, it is difficult to let the level down but, the studies on
providing scales of answers in tests rather than merely true or false
statements might be improved more to be able to achieve more reliability
(achieving similar or consistent results over time) and validity.
To sum up, human resources are the fundamental capital of the
organizations even the organizations that use mechanical machines which
are working according to written rules and information gathered from human
experts. Therefore, external or internal recruiting, selecting practices, training
and apprising personnel are all crucial and must be carefully conducted in
order achieve the organizational objectives, strategies and goals.
31
CHAPTER 3
PERSONNEL SELECTION DECISION BASED ON SELF-
CONFIDENCE
3.1 Preference Relations-Representation of the Preferences
As it is mentioned in the previous chapters, decision making process that is
selecting the feasible optimal alternative or option among possible
alternatives set is transpired almost every phase of our lives. Herewith
studying on decision making processes becomes crucial in many fields of
study such as Social Psychology, Operations Management, AI (Artificial
Intelligence), etc. as, Chiclana, Herrera, and Herrera-Viedma (1998) have
stated. In the fields of Management Science, especially HR, industrial
engineering, and other business management practices, decisions made
associated with the appropriate personnel selection have huge impact on
organizations’ strategic success. An example of personnel selection problem
based on multi-criteria decision making that comprises 5 criteria and 6
alternative candidates is given in one of the well-known books (Aliev & Aliev,
2001). Here, authors have used compositional rule of inference in order to
choose the optimal alternative candidate in accordance with the given
required criteria. Bogdanovic and Miletic (2014) put forward the efficiency
and the success of multi-criteria decision making approach in personnel
selection and evaluation process by improving the approach through
integration of Analytic Hierarchy Process (AHP) which is developed by Saaty
(1980), that eases the process of comparing the weighted criteria based on
expert’s or DM’s preferences, and determining the overall priority of
alternatives based on each criterion; and PROMETHEE (Preference Ranking
Organization Method for Enrichment Evaluation) that is developed by Brans
32
and Vincke (1985), which method enables the DM to decide based on the
final ranking of alternatives with preference function. Dağdeviren (2008)
suggests fuzzy AHP usage whenever criteria preferences obtained from the
DM include impreciseness or uncertain information that might be in
qualitative structure. For example, Fuzzy AHP is efficient in representing
uncertain or imperfect information based preferences of the DM through
enabling the use of intermediate boundaries for value expressions, instead of
a single value to generate evaluation matrix (Chan et al., 2008). Other fuzzy
approach based multi-criteria studies also have effectively disclosed the
importance of decision making in different areas (De Brucker, Macharis, &
Verbeke, 2011; Pohekar & Ramachandran, 2004; Kahraman, Cebeci, &
Ulukan, 2003; Jiang & Eastman, 2000).
Some other important methods for personnel selection have been performed
and achieved effective solutions. One of them is TOPSIS decision tool that
provides both positive-ideal and negative-ideal solutions and gives the
ranking of alternatives to enable the DM to select the optimal personnel that
matches with the job requirements (Sang, Liu, & Qin, 2015; Şenel, Şenel, &
Aydemir, 2018). Hudson, Reinerman-Jones, and Teo, (2017) review different
decision making approaches for effective personnel selection process that
indeed plays a key role for organizational success.
It is seemed from the previous researches and studies that pair comparison
of one alternative over another alternative, or in general words, preference
relations that represent the DM’s expression of opinions over possible
alternative sets, are significantly related to efficiency and efficacy of the
overall decision making process. For example, in personnel selection
preference relations on a pair of alternative candidates can be represented
by the degree of preference or intensity for alternative candidate i over
alternative candidate j, i.e. ( )jiij xx , = with XX matrix, where X
stands for the set of possible alternative candidates for the vacant faculty
post. However, different DMs may follow different approaches to provide their
preferences or comparisons over the fuzzy set of alternatives X, because of
33
different or special personality, motivation factors, attitudes and ideas
possessed by each DM (Chiclana, Herrera, & Herrera-Viedma, 2001).
Therefore, Chiclana, Herrera, & Herrera-Viedma (2001) state the mainly used
preference relations or evaluations by DM that may be used in personnel
selection as well. Widely used preference relations include fuzzy preference
relations (Chiclana, Herrera, & Herrera-Viedma, 1998; Fodor & Roubens,
1994) multiplicative preference relations (show ratio of preference for ix over,
jx ), utility functions (refer to the DM’ utility evaluations) and linguistic
preference relations (Herrera-Viedma et al., 2004; Xu, 2004, Herrera-Viedma
et al., 2005, etc.).
3.2 Fuzzy Preference with Self-confidence
Novelty confronts us when we take into account the self-confidence level of
the DM, which is the consideration that was unfortunately not studied, or
neglected in the above considered and other related researches.
As it is stated in Zarnoth and Sniezek (1997), confidence level of a DM is
related to how strongly he/she believes the specific statement given is the
optimal response. Previous study about reciprocal intuitionistic fuzzy
preference relations was integrated with confidence/consistency level on the
expert DMs’ opinions (Ureña et al., 2015). Novel approach was put forward in
Liu et al. (2016) that is, fuzzy preference relations with self confidence level.
In our study we implement the fuzzy preference relations with self confidence
on personnel selection problem in order to choose the optimal candidate that
matches with the vacant job requirements.
3.3 Preliminaries
In this part we cover the basic information about the fuzzy preferences,
linguistic variables for self-confidence (Aliev & Aliev, 2001), and fuzzy
preference with self-confidence (Liu et al., 2016; Liu et al., 2017).
34
Fuzzy preference relation (also sometimes called additive preference
relations) P on a finite set of possible alternatives nxxxX ,...,, 21= , is a
relation on XX (matrix) with membership function of 1,0: → XXp , and
( )ijjip pxx =, , where Pij indicates the degree/intensity of preference of
alternative ix over jx of DM (Liu et al., 2016). Fuzzy preference relation
might be indicated by ( )nnijpP
= , where nn is a matrix.
5.0=ijp , denotes indifference between ix and jx ,
5.0ijp , denotes a definite preference for ix over jx ,
1=ijp , denotes the maximum degree of preference for ix over jx ,
With the assumption of; 1=+ jiij pp , and 5.0=iip (for the verified asymmetry
of given preferences).
Linguistic variables for self-confidence indicate the linguistic terms used
to describe the self confidence level of the DM. As it has been covered in
chapter 1, linguistic variable has values that are expressed in natural
language (NL) or in other words, values are in the form of words or
sentences instead of numerical quantities (Zadeh, 1975). The purpose is to
be able to achieve a satisfying solution or decision for the real world problem
which involves grand human thought processes or decision making
complexity. Therefore, Zadeh (1975) developed the principle in order to deal
with the vagueness and uncertainty present in humanistic systems, which
systems are affected by human judgment, perception, and feelings
(educational systems, political systems, economical systems, etc.). Therefore
we might also conclude that based on Rowe and Mason’s (1987) decision
styles, Analytical style and Conceptual style user DMs that have high
tolerance for ambiguity and cognitive complexity, and able to work in
uncertain environment may use Zadeh’s (1975) principle of linguistic variable
and fuzzy logic to decide in a real world framework. Zadeh (1975) states that
by using linguistic variables, tolerance for impreciseness can be exploited to
achieve a robust solution and to decrease the solution cost.
35
The potential advantage of using linguistic variables is its characterizations
that do not restrict the DM to represent the information in the form of specific
or crisp values. Our previous example covers Age linguistic variable with its
possible linguistic values (and hedges) of ‘young, not young, middle aged,
not very old, old, and extremely old’, etc. within the linguistic variable Age’s
term-set. Naturally, age is expressed in numbers such as 1, 2, 3, 4, 5, 6,
7,…, 100, etc. so these numbers (values) underlie the base variable for Age.
Using the base variable’s values linguistic value ‘old’ within the term-set of
Age may be represented as a label for fuzzy restriction (what we mean by
old) that is characterized by a compatibility function. Compatibility function for
the fuzzy restriction indicates the association between each value in the base
variable, and a number in the 1,0 interval. For instance, compatibilities of
the quantified ages 21, 28, and 35 for the fuzzy restriction labeled ‘young’
may be 1, 0.7, and 0.2, respectively (Zadeh, 1975). Illustration for this
example is given below in figure 4. Furthermore, hierarchical structure for the
relation between Age variable, its fuzzy restrictions, and base variable values
are given in figure 2.
Figure 4: Compatibility Function Example for ‘young’ Labeled Fuzzy Restriction
(Zadeh, 1975)
Linguistic terms might be used for other variables such as Height, Weight,
Truth, etc., also. For Truth, linguistic terms or values might be true,
moderately true, extremely true, untrue, and so forth. An example of weather
36
forecasting may be given as “most probably it will rain tomorrow” instead of
“80 percent it will rain tomorrow”, or “cold day” are all fuzzy events because
human understanding of weather dynamics is not enough for precise
indication of rain probability (Zadeh, 1975).
On the basis of above mentioned reasons, in this paper we use linguistic
terms to describe self-confidence levels of DMs, for example;
S={low, medium,…, very high} (1)
Fuzzy preference with self-confidence is the new subject that we aim to
use for more reliable and correct decision makings. According to Liu et al.
(2016) DMs do not always denote self-confidence on the preceding
preference due to limited or scarce time, excellence or knowledge. Moreover,
previous studies take into account only two types of self-confidence levels
that are either DM is with self-confidence for the given preference
information, or DM is without self-confidence if the preference information
based on pair wise comparison of alternatives is not given. On the other
hand, multiple self-confidence levels can be denoted by DMs, if the proper
and suitable mathematical tools and technique is provided. Within this type
of preference relation, each alternative element comprises two parts. First
part involves DM’s actual fuzzy preference value in terms of a pair of
alternative candidates. The second part indicates the DM’s self-confidence
level that is described in ordinal linguistic terms scale associated with the
preceding fuzzy preference value provided. This index is represented as
follows;
( )ijij SPP ,= (2)
Where, ijP denotes the degree of preference of alternative ix over alternative
ix , and ijS denotes the self-confidence level on the
ijP .
Liu et al. (2018) propose the self-confident multiplicative preference relations
usage to investigate the consensus based group decision making and
according to this process they have found out some robust results such as:
37
1) information loss from preferences may be reduced by providing self
confidence levels; 2) using multiplicative preference relations with self-
confidence level adjustments can improve the success ratio and the speed of
the decision making process.
Zadeh (2011) as cited in Liu et al. (2017) proposes the use of Z-number
principle which is somewhat associated with using linguistic self-confidence
levels on preference evaluations. Zadeh (2011) states that each Z-number
consists of two parts A and B, i.e. Z= (A, B). A stands for the (fuzzy)
constraint or restriction, while, B the second component indicates the
measure of certainty or reliability on the first part A. Both A and B are given in
natural language, NL (e.g. 90 days, very sure).
3.4 Methodology for the Solution
As we have mentioned earlier, selecting the optimal or best candidate among
the possible group of applicants that is best suited for the particular vacant
position’s requirements and the organization may in turn supply the
organization with the competitive advantage. Thereby, here we understand
the importance of the personnel selection technique and problem.
The problem is to choose the optimal candidate for a given vacant faculty
post. Here we are considering the job related multiple criteria given according
to job analysis and job description (see Appendix A) to be able to compare
the possible alternative candidates, and make a selection. The criteria used
for decision making are given as follows (here we assume all criteria as
equally important for the faculty, i.e. all the criteria given below have equal
weights, w):
• Publication Results (C1)
• Industrial Experience (C2)
• Teaching Quality (C3)
• Grant Taking Ability (C4)
• Intelligence Level (C5)
38
(Vacant faculty position might be assumed for instructors or academician
candidates in a particular university.)
There are 5 possible alternative candidates. This can be shown as a finite
set:
54321 ,,,, aaaaaA =
The aim is to derive the priority vector of fuzzy preference relation with self
confidence w= {w1, w2, w3, w4, w5}, that minimizes the total information
deviation between the DM’s (fuzzy) preference relations and vector w. At the
end, ranking of candidates as {w1, w2,…, w5} gives the DM ability to find and
choose the best alternative candidate.
We use pair wise comparisons over all possible alternatives that are
associated with our personnel selection problem (multi-criteria decision
making (MCDM) problem) which is based on various criteria and candidates
(alternatives). To sum up, our objective or aim is to select the most
appropriate personnel for the vacant position, with the given criteria
(publication results, industrial experience, technical skills, and so forth), and
available alternatives (personnel candidates A1, A2, and so forth). There are
some steps as follows:
1. Relative importance of each decision criterion is determined by the
DM. In this example study, each criterion possesses equal weights.
2. Pair wise comparisons or evaluations for alternatives (in our case
candidates) in terms of each criterion are conducted according to
fuzzy preferences of an expert DM.
3. Aggregated preference matrix over the all alternatives is calculated by
synthesizing all of the pair wise fuzzy preference matrix results into
one aggregated fuzzy preference matrix.
4. Furthermore, related consistency of the indicated preferences over the
alternatives is calculated by Consistency Index (CI) based on
eigenvector method developed by Saaty (1980).
39
Figure 5: Research Model
Each criterion is regarded as equally important. We perform pair wise
comparisons for each pair of alternatives Ai, 5,1=i with respect to each
criterion Ci, 5,1=i considered. In this regard, we have to repeat this
evaluation five more times for each criterion given. An example of fuzzy
preference relation matrix for criterion 1 (C1) is presented below (table 1).
C1 A1 A2 A3 A4 A5
A1 0.5 p12 p13 p14 p15
A2 p21 0.5 p23 p24 p25
A3 p31 p32 0.5 p34 p35
A4 p41 p42 p43 0.5 p45
A5 p51 p52 p53 p54 0.5
Table 1: Fuzzy Preference Relation with Respect to C1
Table shows the pij which indicates the degree or intensity of preference of
alternative candidate Ai over alternative candidate Aj. Also it is assumed that,
1=+ jiij pp , and 5.0=iip . For example, pair wise comparison of A3 over A5
gives p35=1-p53, and for alternative A3 p33=0.5.
In the next step after each (five) fuzzy preference evaluations of alternatives
based on each criterion is performed, we need to generate an aggregated
preference matrix by aggregating all five fuzzy preference matrices obtained.
Aggregated matrix is shown below in table 2.
•Importance of each criterion is identified
•Pair wise comparisons or evaluations for alternatives (in our case candidates) in terms of each criterion are conducted
•Aggregated preference matrix over the all alternatives is calculated
•Consistency Index (CI) and Consistency Ratio (CR) based on eigenvector method is calculated
40
Table 2: Aggregated Preference Matrix
In this new approach of fuzzy preference relations with self-confidence DM
firstly provides the preference values considering the pair of alternatives as it
is shown in table 2. However, in the real world situation or practice this matrix
is frequently inconsistent because of some account error given by the expert
DM on preference evaluations. In the case of full consistency λmax=n and the
maximum eigenvalue is denoted as λmax. Deviation from consistent
approximation of evaluations by an expert DM is expressed by λmax≥n. Thus,
to ensure and measure consistency of provided evaluations we compute
Consistency Index (CI) developed by Saaty (1980). Equation is given below.
max
1
nCI
n
−=
−
Here, λmax indicates the maximum eigenvalue, where n is the number of pair
wise comparison matrices ℝ (in our case 5). To compare this value Saaty
(1980) suggests using Random Index indicated by RI, which is simply the
estimated average CI acquired from a large number of randomly generated
reciprocal (fuzzy preference) matrices of the same order (Table 3).
n 1 2 3 4 5 6 7 8 9 10 11 12
RI 0 0 0.58 0.9 1.12 1.24 1.32 1.41 1.45 1.49 1.51 1.48
Table 3: Random Index (RI)
(Saaty, 1980)
The matrix is accepted as consistent as long as the ratio CI/RI is less than or
equal to 0.1, otherwise preference evaluations are accepted as inconsistent.
A1 A2 A3 A4 A5
A1 (0.5) (0.9) (0.9) (0.2) (0.9)
A2 (0.1) (0.5) (0.9) (0.1) (0.3)
A3 (0.1) (0.1) (0.5) (0.3) (0.2)
A4 (0.8) (0.9) (0.7) (0.5) (0.8)
A5 (0.1) (0.7) (0.8) (0.2) (0.5)
(3)
41
Here, threshold 0.1 or CI=0.1 means only the 10% judgment by the expert is
inconsistent as a result of random judgment. Ratio values more than 0.1 are
not considered as appropriate for a consistent decision making.
In our case consistency index based on matrix presented in Table 2 is
calculated as follows (Table 4 and Table 5).
A1 (0.5+0.9+0.9+0.2+0.9)/5= 0.68
A2 (0.1+0.5+0.9+0.1+0.3)/5= 0.38
A3 (0.1+0.1+0.5+0.3+0.2)/5= 0.24
A4 (0.8+0.9+0.7+0.5+0.8)/5=0.74
A5 (0.1+0.7+0.8+0.2+0.5)/5=0.46
Table 4: Eigenvector Calculation
Eigenvector 0,68 0,38 0,24 0,74 0,46
Total sum 1,60 3,10 3,80 1,30 2,70
Max ((0.68*1.6)+(0.38*3.1)+(0.24*3.8)+(0.74*1.3)+(0.46*2.7))=5.38
Table 5: λmax (Maximum Eigenvalue) Calculation
Calculation of Consistency Index (CI) and Consistency Ratio (CR) by using
the formula is given below.
095.015
538.5=
−
−=CI
1.008.012.1
095.0===
RI
CICR
Hence, we can conclude that, as 0.08<0.1, preference relation shown in
Table 2 is consistent enough to make a proper decision.
After consistent fuzzy preference value elicitation, expert DM provides the
self-confidence levels associated to the preceding part that consists of
preference values. Self-confidence is described by linguistic terms.
42
Linguistic term set gSL llllS ,...,,, 210= (where l0 may denote very low; l1 may
denote low; or l5 may stand for extremely high) is used by the DM to
characterize their self-confidence levels in the linguistic way. Assumptions for
this method comprise 1=+ jiij pp ; 5.0=iip ; jiij ss = ; and
gii ls = .
In our case linguistic term set is described as SSL= {l0=very low, l1=low,
l2=poor, l7=high, l8=very high}.
43
CHAPTER 4
RESULTS
Fuzzy preference relations information that is gathered from the expert or
experienced DMs such as managers involves considerations, comparisons,
and rankings based on each pair of possible alternative candidates. These
considerations and rankings are performed based on previously identified
criteria evaluations. Interviews and tests may be performed in order to
ascertain and confirm whether the ability of the candidate meets the
requirements related to job criteria. Here, we use a linear programming (LP)
model to find the priority vector of fuzzy preference relation with self-
confidence. Application of the LP model enables the simpler computation in a
shorter time period, and can increase the precision of the solution or decision
obtained. Linear programming is a quantitative technique used for the
solutions of resource allocation problems. For example, for designing
shipping schedule, selecting the best or optimal production mix to maximize
the firm’s profit or minimize the cost through best use of available machine
and labor hours in a particular factory, or assigning personnel to various jobs
as it is in our case (Dessler, 2004).
Fuzzy self-confidence related preference relation matrix is represented in
table 6.
A1 A2 A3 A4 A5
A1 (0.5, VH) (0.9, VH) (0.9, H) (0.2, VH) (0.9, H)
A2 (0.1, VH) (0.5, VH) (0.9, VH) (0.1, VH) (0.3, VH)
A3 (0.1, H) (0.1, VH) (0.5, VH) (0.3, VH) (0.2, H)
A4 (0.8, VH) (0.9, VH) (0.7, VH) (0.5, VH) (0.8, VH)
A5 (0.1, H) (0.7, VH) (0.8, H) (0.2, VH) (0.5, VH)
Table 6: Fuzzy Preference Relation with Self-Confidence
44
We use VH and H as our linguistic terms to enable the DMs to characterize
or express their self confidence levels on the given preference values, that
are described by triangular fuzzy numbers as: A= (a, b, c), i.e. a- lowest
value, b- middle/mean value, and c- highest value, respectively. Using
triangular fuzzy numbers as shown in figure 5 instead of crisp values (0 or 1)
provides tolerance for imprecise self-confidence levels of DMs (Zadeh,
1975).
SSL= {l0=very low, l1=low, l2=poor, l7=high, l8=very high}, where (mostly used);
H= High= {0.7, 0.8, 0.9}
VH= Very High= {1, 1, 0.9}
Figure 6: Triangular Fuzzy Numbers
In order to find the priority vectorw of fuzzy preference relation with self
confidence levels we formulate the following linear programming model (4)
(Liu et al., 2016). This linear programming model provides the priority vector
that minimizes the sum of information deviation indicated as ijz , between the
DM’s first preference value on pair of alternatives and the priority vectorw .
Objective function:
z=z12+z13+z14+z15+z23+z24+z25+z34+z35+z45 →min
subject to
𝜇
(4)
High Very high
45
0.5w1-0.5w2-y12= (0.9-0.5) = 0.4
0.5w1-0.5w3-y13= (0.9-0.5) = 0.4
0.5w1-0.5w4-y14= (0.2-0.5) = -0.3
.
.
.
0.5w2-0.5w5-y25= (0.3-0.5) = -0.2
0.5w3-0.5w4-y34= (0.3-0.5) = -0.2
0.5w3-0.5w5-y35= (0.2-0.5) = -0.3
0.5w4-0.5w5-y45= (0.8-0.5) = 0.3
Z12-4*y12≥ 0
Z12+4*y12≥ 0
Z13-3*y13≥ 0
Z13+3*y13≥ 0
.
.
.
Z45-4*y45≥ 0
Z45+4*y45≥ 0
1 2 3 4 5 1w w w w w+ + + + =
0, 1,5iw i =
0, , 1,5ijz i j =
46
Solution of the linear programming model (4) gives us priority vector of the
alternative candidates as:
w = {0.4, 0, 0, 0.6, 0}
The optimal alternative is the candidate with the highest overall assessment
value w. As a result we can conclude that the best candidate is A4= 0.6 (forth
alternative candidate), with minimized total information deviation of z=6.9.
Therefore, DM or manager is able to make decision on the optimal or most
appropriate candidate, i.e. alternative 4, who is the most suitable and feasible
personnel to hire.
To prove the validity and the feasibility of this new approach with self-
confidence another example with different preferences can be given.
Alternative example is given below.
A1 A2 A3 A4 A5
A1 (0.5, VH) (0.4, VH) (0.6, H) (0.8, VH) (0.7, H)
A2 (0.6, VH) (0.5, VH) (0.7, VH) (0.9, VH) (0.8, VH)
A3 (0.4, H) (0.3, VH) (0.5, VH) (0.7, VH) (0.6, H)
A4 (0.2, VH) (0.1, VH) (0.3, VH) (0.5, VH) (0.4, VH)
A5 (0.3, H) (0.2, VH) (0.4, H) (0.6, VH) (0.5, VH)
Table 7: Alternative Example
(Eyupoglu & Imanova, 2018)
Again LP model is used to find the best alternative with the minimized total
information deviation:
Objective function:
z=z12+z13+z14+z15+z23+z24+z25+z34+z35+z45 →min
subject to
1 2 120.5 0.5 (0.4 0.5) 0.1w w y− − = − = −
1 3 130.5 0.5 (0.6 0.5) 0.1w w y− − = − =
1 4 140.5 0.5 (0.8 0.5) 0.3w w y− − = − =
1 5 150.5 0.5 (0.7 0.5) 0.2w w y− − = − =
(5)
47
2 3 230.5 0.5 (0.7 0.5) 0.2w w y− − = − =
2 4 240.5 0.5 (0.9 0.5) 0.4w w y− − = − =
2 5 250.5 0.5 (0.8 0.5) 0.3w w y− − = − =
3 4 340.5 0.5 (0.7 0.5) 0.2w w y− − = − =
3 5 350.5 0.5 (0.6 0.5) 0.1w w y− − = − =
4 5 450.5 0.5 (0.4 0.5) 0.1w w y− − = − = −
12 125* 0Z Y−
12 125* 0Z Y+
13 133* 0Z Y−
13 133* 0Z Y+
14 145* 0Z Y−
14 145* 0Z Y+
15 153* 0Z Y−
15 153* 0Z Y+
23 235* 0Z Y−
23 235* 0Z Y+
24 245* 0Z Y−
24 245* 0Z Y+
25 255* 0Z Y−
25 255* 0Z Y+
34 345* 0Z Y−
34 345* 0Z Y+
35 353* 0Z Y−
35 353* 0Z Y+
45 455* 0Z Y−
45 455* 0Z Y+
1 2 3 4 5 1w w w w w+ + + + =
0, 1,5iw i =
0, , 1,5ijz i j =
Here, solution (5) gives a different priority vector w={0.33, 0.53, 0.13, 0, 0}.
Therefore, with different preference evaluations and self-confidence levels
the best alternative candidate becomes A2, with z=2.9.
48
Herby, we can state that fuzzy preference values provided with self-
confidence levels by DMs have a significant impact on the decision making
results, and use of another example provides generalization.
49
DISCUSSION AND CONCLUSION
To sum up, in the last chapter we investigate a new kind of preference
relations with self-confidence levels of DMs. Priority vector for candidate
selection is obtained by formulating a linear programming model. Generally,
decision makers have multiple self-confidence levels on their preferences
provided, instead of either full self-confidence or without any self-confidence
statements. So we can conclude that using fuzzy logic for preference
relations on each possible pair of alternative candidates, and for expressing
self-confidence levels on the given preference values exploits the tolerance
for imprecision; improves subjective expressions or judgment; and enables
DMs to work under uncertainty and with subjectivity in order to solve a real
world problem such as personnel selection (Zadeh, 1975). Also, by this
methodology of weighting each alternative in respect of each criterion and
providing preferences according to expert’s judgment, we somewhat provide
an integrated method that includes both clinical and mechanical approaches.
Furthermore, a numerical example for personnel selection decision is
provided that gives us the optimal candidate for the vacant faculty position,
an alternative example with different values is provided besides to prove the
feasibility and validity of the approach.
In this paper we investigate the decision making process that appears almost
in every phase of our lives. Therefore, decision making has become a crucial
part of management as well. Human Resources Management, which involves
the management of the most important capital of the organization- human
being or personnel, is a managerial function that all managers somehow
possess. Most of the managers take part in recruiting, interviewing, selecting
personnel, and training processes in the case of necessity. One of the most
sophisticated, and uncertainty or imprecision included staffing functions is the
personnel selection process that involves interviews, various kinds of tests,
and accordingly provided alternative candidate preferences, etc. in order to
choose the best or the most optimal candidate for the vacant position, and in
turn to accomplish the organizational goals and objectives, or a competitive
50
advantage in the market. Here we have formulated a new decision model on
personnel selection process taking into consideration the self-confidence
levels on fuzzy preference relations of decision makers (DMs) denoted in the
linguistic terms. Using fuzzy approach allows DMs to indicate incomplete
information knowledge on expressing their preferences. The priority vector of
fuzzy preference relations with self-confidence, on pairs of alternative
candidates and identified criteria, is obtained through the use of linear
programming (LP) tool such as Linear Program Solver Optimization Package
which minimizes the total information deviation ijz between the DM’s (fuzzy)
preference and the priority vector w . The priority vector obtained enables the
DMs to find the best alternative. Finally, the numerical examples given on
decision making to choose the optimal alternative candidate for a vacant
faculty post has proved the validity of the considered approach. Considered
approach can be applied to group decision making problems for the future
researches as well.
51
REFERENCES
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60
APPENDIX A
Example of Job Description Template
Job Title: Job Category:
Department/Group: Job Code/ Req#:
Location: Travel Required:
Level/Salary Range: Position Type:
[i.e.: full-time, part-time, job share, contract, intern]
HR Contact: Date posted:
Will Train Applicant(s): Posting Expires:
External posting URL:
Internal posting URL:
Applications Accepted By:
Fax or E-mail:
(425) 555-0123 or [email protected]
Subject Line:
Attention: [Recruiting or HR Department RE: Job Code/Req# and Title]
Mail:
[Recruiting Contact or Hiring Manager]
[Department, Company Name]
[P.O. Box]
[Street or Mailing Address with ZIP Code]
Job Description
Role and Responsibilities
[Type a description of the essential roles, responsibilities and activities a candidate can expect to assume in this position, using the Details style. For bullets, use the Bulleted List style:
Bulleted list item
Bulleted list item
For a numbered list, use the Numbered List style:
Numbered list item
Numbered List item]
Qualifications and Education Requirements (or related Criteria)
[Type a description of the work experience and educational background that a candidate should have when applying for position. Use the Details, Bulleted List, and/or Numbered List styles as needed.]
Preferred Skills
[Type a description of any additional skills or experience that would be considered favorable for a candidate who is applying for this position. Use the Details, Bulleted List, and/or Numbered List styles as needed.]
Reviewed By: Date:
Approved By: Date:
Last Updated By: Date/Time:
Source: https://templates.office.com/en-us/Job-description-form-TM10357174